On the strong and \(\delta\)-convergence of new multi-step and \(S\)-iteration processes in a \(\mathrm{CAT}(0)\) space

DOI10.1186/1029-242X-2013-482zbMath1496.47112OpenAlexW2139869386WikidataQ59294897 ScholiaQ59294897MaRDI QIDQ2250394

Aynur Şahin, Metin Başarır

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-482

zbMATH Keywords

strong convergencefixed point\(\delta\)-convergence\(\mathrm{CAT}(0)\) space\(S\)-iterationcontractive-like mappingnew multi-step iteration

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40) Fixed-point iterations (47J26)

Related Items (5)

Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Some convergence results for nearly asymptotically nonexpansive nonself mappings in CAT(\(\kappa\)) spaces ⋮ Convergence theorem for a finite family of asymptotically demicontractive multi-valued mappings in \(\text{CAT}(0)\) spaces ⋮ Multi-step iterative algorithm for minimization and fixed point problems in \(p\)-uniformly convex metric spaces ⋮ On the strong convergence of a modified Halpern algorithm in a CAT(0) space

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